Give English language translations of the following wffs ifM(x): x is a manW(x): x is a womani: Ivanp: PeterW(x, y): x works for ya. (Ax)(W(x) ^ (Vy)(M(y) → [W(x, y)1).b. (Vx)[M(x) → 3y)(W(y) ^ W(x, y))]c. (Vx)[M(x) → (Vy)(W(x, y) → W(y))]d. (Vx)(Vy)(M(x) A W(y, x) → W(y))e. W(i, p) ^ (Vx)[W(p, x) → (W(x))')f. (Vx)[W(x, i) → (W(x))']

1. There exist a woman for whom all men work. 2. All men who work, work for women 3. All men for…

Answered: Give English language translations of…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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IN C++ Write a functtion that given two arrays A and B of N integers each, describing a directed graph, returns true if the graph is a cycle and flase other wise. EX, Given A = [ 3,1,2] B = [2,3,1] -- returns true Given A = [ 1,2,1] B = [2,3,3] -- returns false
1. A triple (x,y,z) of positive integers is called pythagorean if x^2 + y^2 = z^2. Using a list comprehension, define a function: pyths Int -> [(Int, Int, Int)] that maps an integer n to all such triples with components in [1..n]. For example: > pyths 5 [(3,4,5),(4,3,5)]
Consider the function f= {(n,n² – 1) such that n<5,n€N}, written in set-builder notation, which defines a set containing a list of ordered pairs. Write the inverse of f as a set in list form containing ordered pairs. O fl={(0,1),(3,2),(8,3),(15,4)} O fl={(0,– 1),(1,0), (2,3),(3,8),(4,15)} ofl={(1,0), (2,3),(3,8),(4,15)} O fl= {(-1,0),(0,1),(3,2),(8,3),(15,4)} o fl={(3,2),(8,3),(15,4)}
1. A triple (x,y,z) of positive integers is called pythagorean if x^2 + y^2 = z^2. Using a list comprehension, define a function: pyths Int -> [(Int, Int, Int)] that maps an integer n to all such triples with components in [1..n]. For example: > pyths 5 [(3,4,5), (4,3,5)]
4. Define a polymorphic function of type: shimmy :: [a] -> a -> [a] which takes an input list and another value (of the same type as the input list's elements) and outputs a list based on the input list, but where every element is preceded by and followed by the second input. For example shimmy [1,2,3] 0 = [0,1,0,2,0,3,0] and shimmy 0 0 = [0]
Given the definition in Haskell: fmap :: (a -> b) -> [a] -> [b] fmap g xs = reverse (map g xs) With Functor law: (fmap g . fmap h) xs = fmap (g . h) xs Using list xs :: [Int], prove the definition does not satisfy the law:
S NP VP [SUBCAT=nil] VP [SUBCAT= [HEAD=pp,TAIL=nil]] ARG [CAT=pp] he VP [SUBCAT=[HEAD=np,TAIL= [HEAD=pp,TAIL=nil]]] ARG [CAT=np] PP V [SUBCAT= [HEAD=np,TAIL=[HEAD=pp,TAIL=nil]]] NP gave : to his brother the bike Figure 1: Graphical representation of the parse of he gave the bike to his brother. Note the two applications of VP[SUBCAT=?rest] -> VP [SUBCAT= [HEAD=?arg, TAIL=?rest]] ARG [CAT=?arg]. Also note the topmost VP has [SUBCAT=nil], which is needed to apply the rule with left-hand side S. How the rules for subcategorisation are applied is illustrated in Figure 1. In order to handle the verbs in our example sentences, further rules for V and ARG are needed, but it should be possible to reuse the rule VP[SUBCAT=?rest] -> VP[SUBCAT= [HEAD=?arg, TAIL=?rest]] ARG[CAT=?arg] for several verbs, regardless of their subcategorisation frames. Step 4: final testing Again test the positive and negative examples, and verify that all positive examples are accepted, and none of the negative…
Exercise 1.6.2: Finding a partition of a set. About Let sets A through F be defined as follows. • A = (000) B= (111) C= (0x: x€ (0, 1)) D = (01x xe (0, 1)) • E- (1x xe (0. 1)) •F= (00x xe (0, 1} (a) Give two different partitions of the set (0, 1)' using one or more of the sets defined above. Give your answer by writing the letters corresponding to the sets in each partition. Ex: A B, C.
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Liskov Substitution Principle (LSP)a. Propose a way to fix the problem in there.

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